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Mathematics and applied mathematics
intro
We are a research group in pure and applied mathematics. We also take part in multi-disciplinary research both across the School of Computing and Engineering and with collaborators in the UK and abroad.
Our core research areas within mathematics are differential geometry, non-linear dynamics and chaos, stochastic differential equations and modelling. In addition, we are engaging in research activities in electrical, civil and biomedical engineering and are closely affiliated with The Faringdon Research Centre for Non-Destructive Testing and Remote Sensing.
We always welcome suggestions for collaborations if you believe that our expertise could be of relevance to you. If you are thinking of pursuing a research degree in mathematics or applied mathematics as part of our team, please find out more by following the link below.
Group Members
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Dr Anastasia Sofroniou
Associate Professor in Mathematics
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Dr Thomas Madsen
Head of Subject in Computing – Data Science
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Dr Shihan Miah
Lecturer in Mathematics and Statistics
Postdocs:
- Dr Benjamin Aslan, LMS Early Career Fellow
Research students:
- Bhairavi Premnath
Current research projects
- Toric geometry of exceptional holonomy manifolds.
- Higher-dimensional gauge theory.
- Machine Learning techniques and optimisation in the context of drug discovery.
- Nonlinear Dynamics and Chaos with applications in Power Systems.
- Educational Mathematics
- Stochastic behaviour of financial derivatives
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Recent publications and preprints
- Jason D. Lotay and Thomas Bruun Madsen, "Instantons on flat space: Explicit constructions". Preprint: arXiv:2204.11517 [math.DG], 2022.
- Rishi Jagdev, Thomas Bruun Madsen and Paul Finn, ""On the ability of machine learning methods to discover novel scaffolds". Preprint, 2022
- Thomas Bruun Madsen and Andrew Swann, "Toric Geometry of Spin(7)-manifolds". Int. Math. Res. Not. IMRN, 299 (3), 16511-16529, 2021.
Find out more
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Research Centres
Find out about our multi-disciplinary areas of expertise, research, and teaching.
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Research impact
Learn how our research has helped communities locally, nationally and internationally.
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Research degrees
Find out more about PhD and Professional Doctorate opportunities and how we will support you within our active and interdisciplinary research community.